<i>L</i>₂‐gain fault tolerant control of singular Lipschitz systems in the presence of actuator saturation

Abstract

Summary In this paper, the L 2 ‐gain fault tolerant control for a class of singular systems in the presence of Lipschitz nonlinearity and actuator saturation is investigated. Both fixed‐gain controller and adaptive controller are designed such that the closed‐loop system is regular, impulse‐free, and stable. In contrast with our previous work where the saturation avoidance method is adopted, here we resort to the saturation allowance approach to tackle this issue. As a result, the obtained criterion guaranteeing the regularity, impulse‐free, and stability properties does not involve information about the initial state a prior comparing with our previous results. Moreover, the structural constraint on the feedback control gain is removed. An optimization algorithm is formulated to find the largest disturbance tolerance capability. In addition, the L 2 ‐gain performance of the closed‐loop system is also addressed based on the aforementioned results. An example is given to validate the theoretical results. Copyright © 2014 John Wiley &amp; Sons, Ltd.